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96969696969696 = 2532394649909091
BaseRepresentation
bin10110000011000110000100…
…010101111000001111100000
3110201100012201220112211000220
4112003012010111320033200
5100202222414411012241
6542123132552043040
726265554326316055
oct2603060425701740
9421305656484026
1096969696969696
1128996687a43301
12aa61463393480
134215284531aa5
1419d350354d02c
15b3260ea45166
hex5831845783e0

96969696969696 has 96 divisors (see below), whose sum is σ = 255665761344000. Its totient is φ = 32181029637120.

The previous prime is 96969696969689. The next prime is 96969696969709. The reversal of 96969696969696 is 69696969696969.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between odd and even.

96969696969696 is a strobogrammatic number because it is the same when read upside-down.

96969696969696 is an undulating number in base 10.

96969696969696 is a modest number, since divided by 96969696 gives 969696 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 96969696969594 and 96969696969603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106212111 + ... + 107121201.

It is an arithmetic number, because the mean of its divisors is an integer number (2663185014000).

Almost surely, 296969696969696 is an apocalyptic number.

96969696969696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96969696969696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127832880672000).

96969696969696 is an abundant number, since it is smaller than the sum of its proper divisors (158696064374304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96969696969696 is a wasteful number, since it uses less digits than its factorization.

96969696969696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913992 (or 913984 counting only the distinct ones).

The product of its digits is 1338925209984, while the sum is 105.

The spelling of 96969696969696 in words is "ninety-six trillion, nine hundred sixty-nine billion, six hundred ninety-six million, nine hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 4649 5736 7648 9298 11472 13947 18596 22944 27894 37192 55788 74384 111576 148768 223152 446304 909091 1111111 1818182 2222222 2727273 3333333 3636364 4444444 5454546 6666666 7272728 8888888 10909092 13333332 14545456 17777776 21818184 26666664 29090912 35555552 43636368 53333328 87272736 106666656 217272749 434545498 651818247 869090996 1303636494 1738181992 2607272988 3476363984 4226364059 5214545976 6952727968 8452728118 10429091952 12679092177 16905456236 20858183904 25358184354 33810912472 50716368708 67621824944 101432737416 135243649888 202865474832 405730949664 1010101010101 2020202020202 3030303030303 4040404040404 6060606060606 8080808080808 12121212121212 16161616161616 24242424242424 32323232323232 48484848484848 96969696969696